University of Sydney
School of Mathematics and Statistics
Universität des Saarlandes
Computing S-integral points on elliptic curves.
Friday 26th November, 12-1pm, Carslaw 375.
In 1929 C. Siegel proved that there are only finitely many integral
points on an elliptic curve. A few years later, this result was
generalized by K. Mahler to S-integral points, where
S denotes a finite set of places of a number field
K. In this talk I'll give a brief overview of the
computation of S-integral points on elliptic curves defined
over the rational numbers by estimating linear forms in complex and
p-adic elliptic logarithms.